Theodosius <Bithynius>; Clavius, Christoph, Theodosii Tripolitae Sphaericorum libri tres

Page concordance

< >
Scan Original
61 49
62 50
63 51
64 52
65 53
66 54
67 55
68 56
69 57
70 58
71 59
72 60
73 61
74 62
75 63
76 64
77 65
78 66
79 67
80 68
81 69
82 70
83 71
84 72
85 73
86 74
87 75
88 76
89 77
90 78
< >
page |< < (61) of 532 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div222" type="section" level="1" n="106">
          <p style="it">
            <s xml:id="echoid-s2408" xml:space="preserve">
              <pb o="61" file="073" n="73" rhead=""/>
            _
              <emph style="sc">G</emph>
            B,_ verò maior quàm _
              <emph style="sc">G</emph>
            C;_ </s>
            <s xml:id="echoid-s2409" xml:space="preserve">& </s>
            <s xml:id="echoid-s2410" xml:space="preserve">_
              <emph style="sc">G</emph>
            B,
              <emph style="sc">G</emph>
            E,_ æquales Item _
              <emph style="sc">G</emph>
            H,_ minor quàm _
              <emph style="sc">G</emph>
            I;_ </s>
            <s xml:id="echoid-s2411" xml:space="preserve">& </s>
            <s xml:id="echoid-s2412" xml:space="preserve">_
              <emph style="sc">G</emph>
            H_
              <lb/>
            _
              <emph style="sc">G</emph>
            K,_ æquales. </s>
            <s xml:id="echoid-s2413" xml:space="preserve">Quapropter cum arcubus ſemicirculo minoribus ſubtendantur, ex by-
              <lb/>
              <note position="right" xlink:label="note-073-01" xlink:href="note-073-01a" xml:space="preserve">Schol. 28.
                <lb/>
              tertij.</note>
            pothcſi, erit quoque arcus _
              <emph style="sc">G</emph>
            A,_ omnium maximus, & </s>
            <s xml:id="echoid-s2414" xml:space="preserve">_
              <emph style="sc">G</emph>
            D,_ minimus: </s>
            <s xml:id="echoid-s2415" xml:space="preserve">at _
              <emph style="sc">G</emph>
            B,_ mater,
              <lb/>
            quàm _
              <emph style="sc">G</emph>
            C;_ </s>
            <s xml:id="echoid-s2416" xml:space="preserve">& </s>
            <s xml:id="echoid-s2417" xml:space="preserve">_
              <emph style="sc">G</emph>
            H,_ minor quàm _
              <emph style="sc">G</emph>
            I:_ </s>
            <s xml:id="echoid-s2418" xml:space="preserve">Denique _
              <emph style="sc">G</emph>
            B,
              <emph style="sc">G</emph>
            E,_ nec non _
              <emph style="sc">G</emph>
            H,
              <emph style="sc">G</emph>
            K,_ æqua-
              <lb/>
              <note position="right" xlink:label="note-073-02" xlink:href="note-073-02a" xml:space="preserve">28. tertij.</note>
            les inter ſe. </s>
            <s xml:id="echoid-s2419" xml:space="preserve">Quod eſt propoſitum.</s>
            <s xml:id="echoid-s2420" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2421" xml:space="preserve">_PERSPICVVM_ autem eſt in proximis duobus theorematibus arcus ſingulorũ
              <lb/>
            ex
              <emph style="sc">G</emph>
            , ductos non debere eſſe maiores ſemicirculo: </s>
            <s xml:id="echoid-s2422" xml:space="preserve">alias non auferrent maiores lineæ
              <lb/>
            maiores arcus, & </s>
            <s xml:id="echoid-s2423" xml:space="preserve">contra, vt conſtat exſcholio propoſ. </s>
            <s xml:id="echoid-s2424" xml:space="preserve">28. </s>
            <s xml:id="echoid-s2425" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2426" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2427" xml:space="preserve">Eucl.</s>
            <s xml:id="echoid-s2428" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div225" type="section" level="1" n="107">
          <head xml:id="echoid-head119" xml:space="preserve">THEOREMA 20. PROPOS. 22.</head>
          <note position="right" xml:space="preserve">33.</note>
          <p>
            <s xml:id="echoid-s2429" xml:space="preserve">SI in ſphæra maximus circulus vnum quidem
              <lb/>
            circulum tangat, alium vero ei parallelum ſecet,
              <lb/>
            poſitum inter ſphæræ centrum, & </s>
            <s xml:id="echoid-s2430" xml:space="preserve">eum circulum,
              <lb/>
            quem tangit maximus circulus, polus autem maxi
              <lb/>
            mi circuli fuerit inter vtrumque parallelorum, de-
              <lb/>
            ſcribanturque maximi circuli tangentes duorum
              <lb/>
            parallelorum maiorem: </s>
            <s xml:id="echoid-s2431" xml:space="preserve">hi omnes erunt inclinati
              <lb/>
            ad maximum circulum, & </s>
            <s xml:id="echoid-s2432" xml:space="preserve">eorum rectiſſimus qui-
              <lb/>
            dem eritille, cuius contactus erit in eo puncto, in
              <lb/>
            quo maius ſegmentum paralleli maioris bifariam
              <lb/>
            diuiditur; </s>
            <s xml:id="echoid-s2433" xml:space="preserve">humillimus vero & </s>
            <s xml:id="echoid-s2434" xml:space="preserve">maxime inclina-
              <lb/>
            tus, cuius contactus eritin eo puncto, in quo mi-
              <lb/>
            nus ſegmentum bifariã diuiditur; </s>
            <s xml:id="echoid-s2435" xml:space="preserve">Reliquorum au-
              <lb/>
            tem illi quidem, quiæqualiter diſtant ab alterutro
              <lb/>
            eorum punctorum, in quibus fegmenta bifariam
              <lb/>
            ſecantur, ſunt ſimiliter inclinati: </s>
            <s xml:id="echoid-s2436" xml:space="preserve">qui vero conta-
              <lb/>
            ctum remotiorem habet à puncto, in quo maius
              <lb/>
            ſegmentum bifariam ſecatur, inclinatior perpetuo
              <lb/>
            eſt, quam qui contactum eidem puncto propio-
              <lb/>
            rem habet. </s>
            <s xml:id="echoid-s2437" xml:space="preserve">Poli denique maximorum circulorum
              <lb/>
            erunt in vno circulo, qui & </s>
            <s xml:id="echoid-s2438" xml:space="preserve">minor erit eo </s>
          </p>
        </div>
      </text>
    </echo>
Impressum